Question

A garrison has sufficient provisions for $480$ men for $12$ days . If the number of men is reduced to $160$, how long will the provisions last?

• A. $18$ days
• B. $36$ days
• C. $20$ days
• D. $40$ days

Answer 1

Answer: (B)

$36$ days

Garison has $12$ days provision for $480$ men.

But no. of man reduced to $160$.

Let no. of days be $x$ for $160$ men.

Using inverse variation,

$⟹\frac{480}{160}=\frac{x}{12}$

$⟹x=\frac{480\times 12}{160}$

$⟹x=36$ days.